Desmos Graphing Calculator

CalcReferenceCopy

Math·Geometry and Trigonometry·Lines, angles, and triangles

easy

Triangle $QRS$ is similar to triangle $FGH$ such that $Q$, $R$, and $S$ correspond to $F$, $G$, and $H$, respectively. Each side of triangle $QRS$ has 3 times the length of its corresponding side in triangle $FGH$. In triangle $FGH$, the measure of angle $F$ is $35^{\circ }$, the measure of angle $G$ is $6^{\circ }$, and $FG=a$. In triangle $QRS$, the measure of angle $Q$ is $b^{\circ }$ and $QR=30$. What is the value of $a+b$?

1

45